The interaction (REF ) of a tensor field theory in dimension \(d=5\)  [1]} is
\(\nonumber S_{int}[\bar{T},T]=& \frac{\lambda _1}{2} \sum _{\ell = 1}^5 \sum _{\lbrace \vec{p}_i\rbrace \,i=1,...,4} \mathcal {W}^{(\ell )}_{\vec{p}_1,\vec{p}_2,\vec{p}_3,\vec{p}_4}T_{\vec{p}_1}\bar{T}_{\vec{p}_2}T_{\vec{p}_3}\bar{T}_{\vec{p}_4}\\&+ \frac{\lambda _2}{3} \sum _{\ell = 1}^5 \sum _{\lbrace \vec{p}_i\rbrace \,i=1,...,6} \mathcal {X}^{(\ell )}_{\vec{p}_1,\vec{p}_2,\vec{p}_3,\vec{p}_4,\vec{p}_5,\vec{p}_6} T_{\vec{p}_1}\bar{T}_{\vec{p}_2}T_{\vec{p}_3}\bar{T}_{\vec{p}_4}T_{\vec{p}_5}\bar{T}_{\vec{p}_6} \cr &+ \lambda _3 \sum _{\ell _{i}=1,i=1,2,3}^5 \sum _{\lbrace \vec{p}_i\rbrace \,i=1,...,6} \mathcal {Y}^{(\ell _1,\ell _2,\ell _3)}_{\vec{p}_1,\vec{p}_2,\vec{p}_3,\vec{p}_4,\vec{p}_5,\vec{p}_6}T_{\vec{p}_1}\bar{T}_{\vec{p}_2}T_{\vec{p}_3}\bar{T}_{\vec{p}_4}T_{\vec{p}_5}\bar{T}_{\vec{p}_6},\) 
